Non-Hermitian superintegrable systems

被引：0

作者：

Correa, Francisco ^{[1
]}

Inzunza, Luis ^{[1
]}

Marquette, Ian ^{[2
]}

机构：

[1] Univ Austral Chile, Inst Ciencias Fis & Matemat, Casilla 567, Valdivia, Chile

[2] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2023年 / 56卷 / 34期

基金：

澳大利亚研究理事会;

关键词：

non-Hermitian Hamiltonians; superintegrable systems; PT-symmetry; Marsden-Weinstein reduction; MAXIMAL ABELIAN SUBALGEBRAS; MULTISEPARABLE SUPERINTEGRABILITY; INTEGRABLE SYSTEMS; CALOGERO MODEL; POSCHL-TELLER; COMPLETENESS; POLYNOMIALS; SEPARATION; REAL;

D O I：

10.1088/1751-8121/ace506

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A non-Hermitian generalisation of the Marsden-Weinstein reduction method is introduced to construct families of quantum PT-symmetric superintegrable models over an n-dimensional sphere S-n. The mechanism is illustrated with one-and two-dimensional examples, related to u(2) and u(3) Lie algebras respectively, providing new quantum models with real spectra and spontaneous PT-symmetric breaking. In certain limits, the models reduce to known non-Hermitian systems and complex extensions of previously studied real superintegrable systems.

引用

页数：20

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